Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.f(x) = cos 6x; 
A. x = 1
B. x = -1
C. x = 0
D. x =
Answer: D
Mathematics
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Find the area.(a trapezoid)
A. 36 ft2 B. 23 ft2 C. 90 ft2 D. 45 ft2
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Solve the given equation for x.log2 = x
A.
B.
C.
D.
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Translate the problem situation to a system of equations. Do not attempt to solve.The sum of two numbers is 22. Five times the smaller number minus twice the larger number is 264. What are the numbers? (Let x represent the smaller number and y represent the larger number.)
A. x - y = 22, 5x + 2y = 264 B. x + y = 22, 2x - 5y = 264 C. x + y = 22, 5x - 2y = 264 D. x + y = 22, 5x + 2y = 264
Mathematics
Find the remainder when f(x) is divided by (x - k)f(x) = x5 - 5x4 - 6x3 - 7x2 + 6x + 6; k = -3
A. -567 B. -555 C. -561 D. -573
Mathematics